Finding the Third Proportional to 40,809.75 and 85,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,809.75 : 85,309.50 = 85,309.50 : x
2. Step 2: Convert to fraction form
   40,809.75/85,309.50 = 85,309.50/x
3. Step 3: Cross multiply
   40,809.75x = 85,309.50 × 85,309.50
4. Step 4: Simplify right side
   40,809.75x = 7,277,710,790.25
5. Step 5: Solve for x
   x = 7,277,710,790.25/40,809.75
6. Step 6: Final answer
   x = 178,332.65